11.
If you see clearly, the value of x is greater than -1.
i.e. x>-1----------(1)
But -1 is pointed by dark point.
It means x=1----------(2)
If you combine these two, you will get,
![x \geqslant - 1](https://tex.z-dn.net/?f=x%20%5Cgeqslant%20%20-%201)
12.
Like above,
the value of x is smaller than -2.
i.e. x<-2----------(1)
But -2 is not pointed by dark point.
It means x is not equal to -2.
So the final result is x<-2.
Answer:
2x-3=-6
3x-1=-3
Step-by-step explanation:
Answer:
1 mile is 1.6 km
Step-by-step explanation:
I don't know how to explain
Answer:
x = ± ![\sqrt{\frac{ab+2}{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bab%2B2%7D%7B3%7D%20%7D)
Step-by-step explanation:
Given
3x² - 2 = ab ( isolate the x² term by adding 2 to both sides )
3x² = ab + 2 ( divide both sides by 3 )
x² =
( take the square root of both sides )
x = ± ![\sqrt{\frac{ab+2}{3} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bab%2B2%7D%7B3%7D%20%7D)
Answer:
a) cosθ = ![\frac{-2\sqrt{85} }{85}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%5Csqrt%7B85%7D%20%7D%7B85%7D)
Step-by-step explanation:
<u><em> Step(i):</em></u>-
Given point ( x , y ) = ( - 2 , 3 )
We know that the polar co-ordinates
x = r cos θ and y = r sinθ
where
![r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%28-2%29%5E%7B2%7D%20%2B%289%29%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B4%2B81%7D%20%3D%20%5Csqrt%7B85%7D)
<u><em>Step(ii)</em></u>:-
x = r cos θ
cosθ ![= \frac{x}{r}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Bx%7D%7Br%7D)
cosθ = ![\frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B%5Csqrt%7B85%7D%20%7D%20%3D%20%5Cfrac%7B-2%7D%7B%5Csqrt%7B85%7D%20%7D%20X%20%5Cfrac%7B%5Csqrt%7B85%7D%20%7D%7B%5Csqrt%7B85%7D%20%7D)
cosθ = ![\frac{-2\sqrt{85} }{85}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%5Csqrt%7B85%7D%20%7D%7B85%7D)